Topology Explained: Open Sets, Homeomorphisms, Compactness, and the Fundamental Group

August 15, 2026 Leave a comment
Topology infographic showing an idealized coffee mug continuously deforming into a donut-shaped torus, illustrating homeomorphism without cutting or gluing.

What is topology really about? Start with the famous coffee mug and donut, then learn open sets, continuity, homeomorphisms, connectedness, compactness, Euler characteristic, orientability, and the fundamental group.

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